Question

$\triangle def$ and $\triangle jkl$ are shown below.

which statement is true?
$\triangle def$ is similar to $\triangle jkl$.
$\triangle def$ is not similar to $\triangle jkl$.
there is not enough information to determine whether the triangles are similar.

Explanation:

Step1: Find ∠D in △DEF

Sum of angles in triangle is $180^\circ$.
$\angle D = 180^\circ - 90^\circ - 35^\circ = 55^\circ$

Step2: Find ∠L in △JKL

Sum of angles in triangle is $180^\circ$.
$\angle L = 180^\circ - 90^\circ - 55^\circ = 35^\circ$

Step3: Compare triangle angles

△DEF angles: $90^\circ, 35^\circ, 55^\circ$
△JKL angles: $90^\circ, 55^\circ, 35^\circ$
All corresponding angles are equal.

Answer:

△DEF is similar to △JKL.